A wave is described by the equation: with t in seconds and x in metres. (i) (ii) y(x, t) = 0.6 sin[(2t - 6x) + (iv) кто Find the frequency, wavelength and wave number of this wave [Hint: write (2t-6x) as -(6x-2t) and then use trigonometric identities to interpret what y(x,t) = Asin[-(kx-ot)] represents graphically compared to y(x, t) = Asin(kx-cot). What is the propagation velocity/wave speed of this wave? What is the displacement and velocity of a particle at x = 0,3 m at t = 2 s? Based on your answer in (c) above, is the particle at x = 0,3 m moving away or towards the equilibrium at t = 2 s? Explain.

A wave is described by the equation: with t in seconds and x in metres. (i) (ii) y(x, t) = 0.6 sin[(2t - 6x) + (iv) кто Find the frequency, wavelength and wave number of this wave [Hint: write (2t-6x) as -(6x-2t) and then use trigonometric identities to interpret what y(x,t) = Asin[-(kx-ot)] represents graphically compared to y(x, t) = Asin(kx-cot). What is the propagation velocity/wave speed of this wave? What is the displacement and velocity of a particle at x = 0,3 m at t = 2 s? Based on your answer in (c) above, is the particle at x = 0,3 m moving away or towards the equilibrium at t = 2 s? Explain.

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter17: Traveling Waves

Section: Chapter Questions

Problem 16PQ: A harmonic transverse wave function is given by y(x, t) = (0.850 m) sin (15.3x + 10.4t) where all...

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